The intersecting chords theorem states we can calculate the angle measure by... *
1 answer:
Answer:
A. Adding the values of the intercepted arcs and that is equal to twice the angle measure
Step-by-step explanation:
The intersecting chords theorem states that when four line segments are formed by two chords intersecting in a circle, the product of the two line segments on one chord is equal to the product of the two line segments on the other chord
The angles of intersecting chords theorem states that the angles formed by the intersecting chords one half the sum of the arcs intercepted by the chords
In the diagram attached, we have;
∠x = ∠y + ∠z
m = 2·∠z, m
= 2·∠y
∴ ∠x = (1/2) × m + m
m + m
= 2 × ∠x
The correct option is therefore adding the values of the intercepted arcs and that is equal to twice the angle measure.
You might be interested in
Answer:
His acceleration is meters per seconds²
Step-by-step explanation:
Acceleration is the rate of change of the speed
The formula of acceleration is , where
is the final speed
is the initial speed
- The unit of the acceleration is meters/second²
∵ Jim goes from 70 meters/minute (beginning speed) to
106 meters/minute (final speed) in 9 seconds
∴ His initial speed = 70 meters/minute
- Change it the meter per second
∵ 1 minute = 60 seconds
∴ meters/second
∴ =
meters/second
∵ His final speed = 106 meters/minute
- Change it the meter per second
∴ meters/second
∴ =
meters/second
∵ The time of the change of his speed is 9 seconds
∴ t = 9
∵ The formula of acceleration is
- Substitute the values of t, and
in the formula above
∴
∴ His acceleration is meters per seconds²